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For instance, in the Fifth Meditation, Descartes claims to provide a proof demonstrating the existence of God from the idea of a supremely perfect being.
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When scientific proof demonstrates such an effort has succeeded, one would expect a celebration with shouts of "we've saved a species," but the actual reaction is much different".
For that reason a proof that demonstrates a logical inconsistency is infinitely precious.
It is an example of a "non-constructive" existence proof: demonstrating that one or another alternative must hold without providing a means for ascertaining which one does hold.
Although limited in several ways, the present study serves as a "proof of concept", demonstrating that technology can bridge the gap between the increasing ICU patient population and the ever-growing shortage of specialists trained to manage them.
The present results can be regarded as a proof of principle demonstrating the feasibility of 2-HIB synthesis under chemo-litho-autotrophic conditions.
The experiment is a proof of principle demonstrating a safe and effective means of tunable remote activation.
Our work provides a proof of principle demonstrating the potential of whole genome sequencing for the rapid identification of relevant genetic variants in the public health and biodefense arenas.
We acknowledge that long-term immunosuppression is not an option for individuals with T1D, but our study is a proof of concept demonstrating that islet transplantation, despite immunosuppression, can prevent the occurrence of major diabetes complications.
A proof of solvency demonstrates that the exchange controls sufficient reserves to settle each customer's account.
The burden of proof of demonstrating a change in domicile (i.e., the place you intend to return to) out of New York is always on the taxpayer "by clear and convincing evidence".
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com